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421162416 = 2434378783
BaseRepresentation
bin11001000110100…
…110110110110000
31002100111021020000
4121012212312300
51330304144131
6105442550000
713302551523
oct3106466660
91070437200
10421162416
111a680a614
12b9068300
1369340b3c
143dd12bba
1526e93ce6
hex191a6db0

421162416 has 100 divisors (see below), whose sum is σ = 1252053792. Its totient is φ = 136577664.

The previous prime is 421162409. The next prime is 421162421. The reversal of 421162416 is 614261124.

421162416 is a `hidden beast` number, since 4 + 21 + 1 + 624 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 421162416.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43561 + ... + 52343.

Almost surely, 2421162416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626026896).

421162416 is an abundant number, since it is smaller than the sum of its proper divisors (830891376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421162416 is a wasteful number, since it uses less digits than its factorization.

421162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8825 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 421162416 is about 20522.2419827854. The cubic root of 421162416 is about 749.5774900251.

The spelling of 421162416 in words is "four hundred twenty-one million, one hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 8783 11988 15984 17566 23976 26349 35132 47952 52698 70264 79047 105396 140528 158094 210792 237141 316188 324971 421584 474282 632376 649942 711423 948564 974913 1264752 1299884 1422846 1897128 1949826 2599768 2845692 2924739 3794256 3899652 5199536 5691384 5849478 7799304 8774217 11382768 11698956 15598608 17548434 23397912 26322651 35096868 46795824 52645302 70193736 105290604 140387472 210581208 421162416